Given the wave function: Y (x, t) = 5sin27 (0.2x - 3t); (x = meters, t = sec.) : What are the amplitude, frequency, wavelength, angular frequency and phase velocity of the wave? In which direction is it traveling? (Note: this wave is not a light wave traveling in a vacuum so va = 3 x 108 is not valid)

Question

Derick

Physics

9 January, 20:10

Given the wave function: Y (x, t) = 5sin27 (0.2x - 3t); (x = meters, t = sec.) : What are the amplitude, frequency, wavelength, angular frequency and phase velocity of the wave? In which direction is it traveling? (Note: this wave is not a light wave traveling in a vacuum so va = 3 x 108 is not valid)

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Answers (1)

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Ryan Shaffer · Answer 1

Y = 5 Sin27 (.2x-3t)

= 5 Sin (5.4x - 81 t)

Amplitude = 5 m

Angular frequency ω = 81

frequency = ω / 2π

= 81 / (2 x 3.14)

=12.89

Wave length λ = 2π / k,

k = 5.4

λ = 2π / 5.4

= 1.163 m

Phase velocity = ω / k

= 81 / 5.4

15 m / s.

The wave is travelling in + ve x - direction.